An elementary construction of tilting complexes

DOI10.1016/S0022-4049(02)00176-7zbMath1012.18006MaRDI QIDQ1861477

Yoshiaki Kato, Mitsuo Hoshino

Publication date: 9 March 2003

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

zbMATH Keywords

enveloping algebratilting complexesNakayama permutationNakayama algebraLoewy length

Mathematics Subject Classification ID

Representations of orders, lattices, algebras over commutative rings (16G30) Syzygies, resolutions, complexes in associative algebras (16E05) Localization of categories, calculus of fractions (18E35)

Related Items (4)

Constructions of derived equivalences for algebras and rings ⋮ Tilting complexes associated with a sequence of idempotents. ⋮ Recollement and tilting complexes. ⋮ Approximations, ghosts and derived equivalences

Cites Work

• Tilting modules of finite projective dimension
• Derived categories and Morita theory
• Group representations without groups
• Derived categories and stable equivalence
• Residues and duality. Lecture notes of a seminar on the work of A. Grothendieck, given at Havard 1963/64. Appendix: Cohomology with supports and the construction of the \(f^!\) functor by P. Deligne
• Morita Theory for Derived Categories
• Tilted Algebras
• Picard Groups for Derived Module Categories
• TILTING COMPLEXES DEFINED BY IDEMPOTENTS
• Derived Equivalences As Derived Functors
• Splendid Equivalences: Derived Categories and Permutation Modules
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